Find the equation of the straight line passing through the point (0,5)
which is perpendicular to the line
y = 5 x + 2​

Answers

Answer 1

Answer:

y = - [tex]\frac{1}{5}[/tex] x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 5x + 2 ← is in slope- intercept form

with slope m = 5

Given a line with slope m then the slope of the line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{5}[/tex]

The line crosses the y- axis at (0, 5 ) ⇒ c = 5

y = - [tex]\frac{1}{5}[/tex] x + 5 ← equation of perpendicular line

Answer 2

Answer:

y = -x/5 + 5

Step-by-step explanation:

Equation of a line L : y=mx+b perpendicular to another line L1 through a point P(p,q)

Given :

L1 : y = 5x+2

P : P(p,q) = P(0,5)

Solution :

Slope of L1 = 5.  For L to be perpendicular, product of slopes = -1 =>

m*5=-1, or m = -1/5

Since L passes through P(0,5), using the point slope form of the line L :

L : (y-5) = -(x – 0) / 5

L : y = -x/5 + 5


Related Questions

Please help me! That would be great if you can.

Answers

Answer should be 3 I’m pretty sure
Yup its pretty much 3

Does this app actually work for ya'll????​

Answers

Answer:

Yessssss!

Step-by-step explanation:

Answer:

yess!! look up your question before you ask it :))))

thx for the points too hehe

Determine two pairs of polar coordinates for the point (5, -5) with 0° ≤ θ < 360°.

Answers

Answer:

you first find the radius which is given by r=√(5^2)+(-5^2)=5√2,and then you find the angle which is given by tan^-1(y÷x),that is tan^-1(-5÷5)=-45°.This angle lies between (5,-5)

so 360-45=315°.

The ordered pair will be (5√2,315°)

To obtain the second ordered pair 315°-180°=135°

(5√2,135°)

the two pairs of polar coordinates are (5√2,135°,

5√2,315°)

If p and q vary inversely and p is 9 when q is 16, determine q when pis equal to 18.​

Answers

Answer:

[tex]p \: \alpha \: \frac{1}{q} \\ p = \frac{k}{q} \\ k \: is \: a \: constant \: of \: proportionality \\ when \: p \: is \: 9.. \: \: q = 16 \\ 9 = \frac{k}{16} \\ k = 144 \\ when \: p \: is \: 18 : \\ 18 = \frac{144}{q} \\ q = \frac{144}{18} \\ q = 8[/tex]

What is the total Jeff has a painted

A. 180 square inches

B.40 square inches

C.100 square inches

D.90 square inches

Answers

Answer:

180 square inches

Step-by-step explanation:

let separate the figure and form two rectangles

first rectangle

length = 10 in

breadth = 9 in

let's find its area

area =l*b

=10*9

=90 in.^2

second rectangle

length = 15 in.

breadth = 6 in.

area =l*b

=15 *6

=90 in.^2

area of a whole he painted =area of first rectangle + area of second rectangle

=90 + 90 in.^2

=180 in .^2

Use the tree diagram below to answer the question how many outcomes are there that contain blue shirts

Answers

3 because there is only small medium and large

Answer:

3

Step-by-step explanation:

i got it right on my test

identify the precision unit for the measuring tool below​

Answers

The answer is 0.1 cm

Factor the expression x^2+6x+8

Answers

This is not the real answer but 3 to the power of 3 is 27 not 9

Find the surface area of the rectangular prism

Answers

Answer:

22mi

Step-by-step explanation:

Formula: A=2(wl+hl+hw)

h=1mi

l=5mi

w=1mi

Using the formula,

2·(1·5+1·5+1·1)=22mi

Therefore, the surface area of the rectangular prism is 22mi

100 divided by 2
please show work

thank you

Answers

Answer:

100÷2= 50

Step-by-step explanation:

Because if we divide a 100 equally by 2 it will be 50

like this? i’m not sure how you would show it lol

the function f is given by f(x) = (x - 6)(x - 2). Multiply out the factors using the area model or distributive property. What expression do you get

Answers

x^2-8x+12, hope this helps

Let a=2 and b=1, find the value of 2a + 3b

Answers

Answer:

7 is a answer

Step-by-step explanation:

2a+3b

2×2+3×1

4+3

7

hope it helps....

[tex] \sf a = 2,\: b = 1[/tex]

[tex] \sf Q) \:2a + 3b = {?}[/tex]

[tex] \sf \implies 2a + 3b[/tex]

[tex] \sf \implies 2(2) + 3(1)[/tex]

[tex] \sf \implies 4 + 3[/tex]

[tex] \sf \implies 7[/tex] is the required answer.

You remember recording bowling scores of 116, 105, 109, and 113; however, you cannot remember your score in the fifth game. You know your bowling average is 109, what did you score on the fifth game?​

Answers

Answer:

the answer is 102

Step-by-step explanation:

hope this helps

Which is the correct answer!!!

Answers

Answer:

the answer is the alphabet a

Pleasee help with this question asap I’m begging y’all

Answers

Answer:  a = 10

==================================================

Work Shown:

[tex]y = \frac{4x+30}{x+5}\\\\y = \frac{4x+20+10}{x+5}\\\\y = \frac{(4x+20)+10}{x+5}\\\\y = \frac{4(x+5)+10}{x+5}\\\\y = \frac{4(x+5)}{x+5}+\frac{10}{x+5}\\\\y = 4+\frac{10}{x+5}\\\\[/tex]

Therefore, a = 10

--------------

As an alternative approach, we could work in reverse like this:

[tex]y = 4+\frac{a}{x+5}\\\\y = 4*\frac{x+5}{x+5}+\frac{a}{x+5}\\\\y = \frac{4(x+5)}{x+5}+\frac{a}{x+5}\\\\y = \frac{4(x+5)+a}{x+5}\\\\y = \frac{4x+20+a}{x+5}\\\\[/tex]

Then notice that the 20+a must be 30, so solving 20+a = 30 leads to a = 10

--------------

As yet another alternative approach (well I suppose it's actually 2 extra approaches) we could use either polynomial long division or synthetic division. Either way, you should end up with a remainder of 10, which corresponds directly to a = 10

A vertical pole 32 feet tall stands on a hillside that makes an angle of 17° with the horizontal line. Determine the approximate length of cable that would be needed to reach
from the top of the pole to a point 56 feet downhill from the base of the pole. Round answer to two decimal places.
A. 72.17 feet
D. 68.24 feet
B. 76.77 feet
E. 55.79 feet
C. 63.98 feet
Help ASAP It’s a test

Answers

Answer:

The 72 feet is measured on the slope, not out from the pole horizontally. I get

top of pole is at

40 + 72 sin17°

downhill point is

72 cos 17°

from point beneath the pole

cable^2 = (40+72 sin17°)^2 + (72 cos 17°)^2

The correct answer is option b) 76.77

The length of cable that would be needed to reach from the top of the pole to  the base of the pole

The 56 feet is measured on the slope, not out from the pole horizontally.

The top of the pole is at

32 + 56 sin17°

Downhill point is

56 cos17°

From a point beneath the pole

⇒ cable^2 =  (32 + 56 sin17°)^2 + (56 cos17°)^2

⇒ cable^2 = 96.74 + 53.553

⇒ cable^2 = 150.29

Dividing both sides by 2

cable =  75.15 (76 approx)

Learn more about height and distance here: brainly.com/question/19528807

#SPJ2

2 + (-17) i need the correct answer and show your work

Answers

Answer:

-15

Step-by-step explanation:

2 + (-17) = (-15)

If two integers have different sign, subtract and the result will have the bigger number sign.

17 - 2 = 15  and the bigger number is 17 & sign of 17 is negative. So answer is  (-15)

Answer :-

2 + (-17) = (-15)

If two integers have different sign, subtract and the result will have the bigger number sign.

17 - 2 = 15  and the bigger number is 17 & sign of 17 is negative. So answer is  (-15)

[tex] \tt{ \verified} \: \: \: \: \red{ \checkmark}[/tex]

Two sides of a triangle are perpendicular. If the two sides are 8cm and 6cm, calculate correct to the next degree, the smallest angle of the triangle. (A)35° (B)36° (C)37° (D)38° (E)53°​

Answers

[tex]\boxed{Given:}[/tex]

Length of the perpendicular ( opposite ) = 6 cm.

Length of the base ( adjacent ) = 8 cm.

[tex]\boxed{To\:find:}[/tex]

The smallest angle of the triangle.

[tex]\boxed{Solution:}[/tex]

[tex]\sf\purple{C.\:37°}[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

In a right-angled triangle, if two sides are given, the measure of the unknown angle can be known.

Since the value of opposite and adjacent sides are given, we use the tangent formula.

tan θ = [tex]\frac{opposite}{adjacent}[/tex]

✒ tan θ = [tex]\frac{6 \: cm}{8 \: cm}[/tex]

✒ θ = [tex]{tan}^{ - 1}[/tex] (0.75)

✒ θ = 36.9°

✒ θ = 37°

Now let us find the other unknown angle 'x'.

We know that,

Sum of angles of a triangle = 180°

✒ 37° + x + 90° = 180° (90° since it is a right-angled triangle)

✒ x + 127° = 180°

✒ x = 180° - 127°

✒ x = 53°

Therefore, the three angles of the triangle are 37°, 53° and 90°.

Hence, the smallest angle is 37°.

[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}[/tex]

Which step in the construction of copying a line segment ensures that the new line segment has the same length as the original lie segment?

Answers

Answer:

Now out of these points, i guess steps 5 and 6 are the main steps that ensure that the copied line segment is exactly the same as the original segment.

Step-by-step explanation:

Here are the steps I think you probably will go through.

1. Draw a line that is longer than the segment but shorter than the width of the page.

1a. Make sure this line is  at least 1/2 inch from the left hand side.  

2. Use a compass to measure the length of the original segment. Never use a ruler. Rulers do not exist in pure geometry.

3. Measure out the distance on the line you just drew with the compass. One end is on the left hand edge and the other end (the pencil end) is marking the segment so it is the same length as the compass. You are done.

The key step either two or three.The steps to copy a line segment are given below:

1. Lets start with a line segment AB that we have to copy.

2. Now mark a point C. below or above AB, that will be one endpoint of the new line segment.

3. Now, put the compass tip on point A of the line segment AB.

4. Spread the compass up to point B, so as the compass width is equal to length of AB.

5. Without changing the compass width, now place the compass tip on the point C that you made in step 2.

6. Now, draw an arc roughly without changing the compass settings. Mark that point D. This will form the new line segment.

7. Draw a line from C to D.

Now out of these points, i guess steps 5 and 6 are the main steps that ensure that the copied line segment is exactly the same as the original segment.

You roll a number cube. Find the probability and write your answer in the simplest form. P(4)= ------------------------------------------- P(not a 2) = ------------------------------------ P(3 or 5) = ------------------------------------

Answers

Answer:

[tex]P(4) = \frac{1}{6}[/tex]

[tex]P(\text{not a 2}) = \frac{5}{6}[/tex]

[tex]P(\text{3 or 5}) = \frac{1}{3}[/tex]

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Number cube:

A number cube is a dice, which has six sides, numbered 1 to 6.

P(4)

One the sides is a 4, thus:

[tex]P(4) = \frac{1}{6}[/tex]

P(not a 2)

Of the 6 sides, one is a 2, and the other 5 are not 2. So

[tex]P(\text{not a 2}) = \frac{5}{6}[/tex]

P(3 or 5)

One sides is 3, other is 5, 1 + 1 = 2. So

[tex]P(\text{3 or 5}) = \frac{2}{6} = \frac{1}{3}[/tex]

if f(x)=3x+2 what is f(5)?

Answers

Answer:

17

Step-by-step explanation:

f(x)=3x+2

Let x = 5

f(5)=3*5+2

Multiply first

f(5) = 15+2

Then add

    = 17

A power company calculates a person's monthly bill from the number of
kilowatt-hours (kWh), x, used.
The function b(x) = {
0.15x,
x < 200
0.10 (x - 200) + 30, 2 > 200
determines
the bill.
How much is the bill for a person who uses 700 kWh in a month?
A. $100
оо
B. $80
O C. $105
O D. $95
PREVIOUS

Answers

Answer: (b)

Step-by-step explanation:

Given

Function for bill calculation is

[tex]\Rightarrow b(x)=\left \{ {{0.15x\quad \quad \quad \, \ \ \ \ x<200} \atop {0.1(x-200)+30\quad x>200}} \right.[/tex]

The consumption is 700 kWh i.e. more than 200

Therefore, bill is given by the second function i.e. [tex]0.10(x-200)+30[/tex]

Substitute 700 for x to get the bill

[tex]\Rightarrow 0.1(700-200)+30\\\Rightarrow 50+30=\$80[/tex]

Hence, option (b) is correct.

whats the anserw plz (8x+10y)+(-4x-3y) i need help!!!

Answers

Answer:

me :- mighty assassin-,-

xd

If carpet costs $11 a square yard including padding and installation, what would it
cost to carpet a room measuring 14ft. by 20ft? (Note: 3 feet = 1 yard)
Round to the nearest dollar.
$1386
o $374
$342
o $1027
o$3080

Answers

Answer:$342

Step-by-step explanation: First we convert to yards: which gives us 14/3 yards and 20/3 yards. We multiply these to find a combined area of 280/9 yards, which we then multiply to get 280*11/3. Simplify to get 342.22 repeating, which rounds to 342.

A rectangle is removed from a right triangle to create the shaded region shown below. Find the area of the shaded region. Be sure to include the correct unit in your answer.

Answers

Answer:

See below.

Step-by-step explanation:

Length * width

4 * 3 = 12 ft[tex]^2[/tex]

Answer:

24 square feet

Step-by-step explanation:

Area = area of triangle - area of rectangle

[tex]Area \ of \ triangle = \frac{1}{2} \times base \times height =\frac{1}{2} \times(4 +5) \times (5+3) = 9 \times 4 = 36 \ ft^2\\\\Area \ of \ rectangle = Length \times Breadth = 3 \times 4 = 12 \ ft^2\\\\\\Area \ of \ the\ shaded \ region = 36 - 12 = 24 \ ft^2[/tex]

Solve for xxx in the diagram below.

Answers

the answer is 6
5 times 6 = 30
54 plus 6 =60
and that is a 90 degree angel

Answer the question.

Answers

Answer:

[tex] \frac{8 {x}^{2} y}{6 {x}^{2} {y}^{2} } \\ = \frac{8×3}{6 {y}^{2} } \\ = \frac{24}{6 \times {3}^{2} } \\ = \frac{4}{9} [/tex]

Which transformation is a translation?

Answers

Answer:

i don't know but o o o o right e o right e auto park

Answer:

4234324tgfgdfgdgd

Step-by-step explanation:

84784+24849+748429+123456

Answers

Answer:

981,518

Step-by-step explanation:

Have a nice day :)

The graph of f(x) = |x – h| + k contains the points (–6, –2) and (0, –2). The graph has a vertex at (h, –5). Describe how to find the value of h. Then, explain how this value translates the graph of the parent function.

Answers

Answer:

ty

Step-by-step explanation:

mtj

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